Abstract
This chapter starts a journey in metric spaces describing the concept of metrics, which is an abstraction of distance in the Euclidean space and conveys an axiomatic framework for this abstraction with a systemic study of elementary basic properties of metric spaces. It also discusses normed linear spaces which form a versatile class of metric spaces. This discussion includes a brief study of Banach and Hilbert spaces.
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Adhikari, A., Adhikari, M.R. (2022). Metric Spaces and Normed Linear Spaces. In: Basic Topology 1. Springer, Singapore. https://doi.org/10.1007/978-981-16-6509-7_2
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DOI: https://doi.org/10.1007/978-981-16-6509-7_2
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